How do you find one sided limits algebraically?
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
1 is divided by a number approaching 0, so the magnitude of the quotient gets larger and larger, which can be represented by
(Caution: When you have infinite limits, those limts do not exist.)
Here is another similar example.
If no quantity is approaching zero, then you can just evaluate like a two-sided limit.
I hope that this was helpful.